 |
|
|
|
|
|
|
|
|
A max/min problem |
2012-12-14 |
|
From bailey:
A right angled triangle OPQ is drawn as shown where O is at (0,0).
P is a point on the parabola y = ax – x^2
and Q is on the x-axis.
Show that the maximum possible area for the triangle OPQ is (2a^3)/(27)
Answered by Penny Nom. |
|
|
|
|
|
|
The perimeter of an equilateral triangle |
2012-12-14 |
|
From shreyaarora:
if the area of on equilateral triangle is 24/3cm,then what is its perimeter
Answered by Penny Nom. |
|
|
|
|
|
|
A project on reclaiming water |
2012-12-11 |
|
From shannon:
I'm doing a report to reclaim water off of our campus facility to store in a cistern to use to flush toilets.
In Southeast Wisconsin and average of 82 inches of rain and snow fall annually.
I want to collect that off of the roof of our school building.
The roof is 37128 square feet.
how many gallons annually could I collect?
Answered by Penny Nom. |
|
|
|
|
|
|
If n is odd, then n^2 - 3 is even |
2012-12-11 |
|
From Tracy:
Prove the statement:
For all integers n, if n is odd, then n2 - 3 is even.
Answered by Penny Nom. |
|
|
|
|
|
|
The circumcenter |
2012-12-09 |
|
From BandNerd:
I need to find the circumcenter of the triangle with the coordinates A(0,0) B(12,6) and C(18,0). I do not understand how to solve it algebraically. Please help!
Answered by Chris Fisher. |
|
|
|
|
|
|
A parabolic bridge |
2012-12-09 |
|
From Elizabeth:
1) The figure below shows a bridge across a river. The arch of the bridge is a parabola and the six vertical cables that help support the road are equally spaced at 4-m intervals. Figure B shows the parabolic arch in an x-y coordinate system, with the left-end of the arch at the origin. As indicated in Figure B, the length of the leftmost cable is 3.072 m.
I'm suppose to find the (x-h)^2=-4a(y-k) equation for this word problem and I really do not know where to begin.
Afterwards, I need to find the lengths of the other cables and the maximum height of the arch of the road as well which I am very confused about
Answered by Penny Nom. |
|
|
|
|
|
|
Mark has 312 books |
2012-12-07 |
|
From paul:
Mark has 312 books. He has 11 times as many fiction books as non fiction books. How many fiction books does he have?
Answered by Penny Nom. |
|
|
|
|
|
|
An arrow is shot straight up in the air |
2012-12-06 |
|
From heather:
The skywalk is a glass bottomed platform that hangs over the edge of the Grand Canyon and is suspended 4000 feet above the floor of the canyon. If a tourist shot an arrow straight up in the air from the observation platform, the arrow's height could be modeled by H(t) =-16^2 + 240 + 4000 where H(t) is the height of the arrow above the canyon floor in feet t seconds after being shot, t>0.
(a) Find H(5) and explain its meaning
Answered by Penny Nom. |
|
|
|
|
|
|
The angles of elevation and depression |
2012-12-03 |
|
From Chelsey:
a person on a balcony of one building looks towards a second building. if the angle of elevation to the top of the second building is 25 degrees, the angle of depression to the bottom of the second building is 17 degrees, and the balcony of the first building is 22 feet above the ground, what is the height of the second building?
Answered by Penny Nom. |
|
|
|
|
|
|
Transposition error |
2012-12-03 |
|
From Carol:
What is the correct term for when a child writes 61 instead of 16, or 83 for 38--when they switch the place values of a number?
Answered by Chris Fisher. |
|
|
|
|
|
|
A circle inscribed in a triangle |
2012-11-28 |
|
From Angie:
Circle O is inscribed in triangle ABC. Angle A = 50 and angle B = 60. Find arc XY in dgrees
Answered by Penny Nom. |
|
|
|
|
|
|
Sinx=logx+x^2 |
2012-11-28 |
|
From yasmin:
Sinx=logx+x^2
Answered by Harley Weston. |
|
|
|
|
|
|
The area of a triangle given its vertices |
2012-11-27 |
|
From elizabeth:
how to calculate the area of a triangle using points ABC a (2,5) b ( -4,-3) c ( 6, -1)
Answered by Penny Nom. |
|
|
|
|
|
|
Two sides of a triangle |
2012-11-25 |
|
From Nazrul:
In the triangle ABC, AB>AC and the bisector AD of angle BAC intersects BC at D. How can I prove that angle ADB is an obtuse angle.
Answered by Penny Nom. |
|
|
|
|
|
|
What is the probability that the sixth draw will be a red ball? |
2012-11-23 |
|
From Patty:
The probability of drawing a red ball out of a bag containing one red ball and one black ball is 1/2. An experiment is conducted where these two balls are placed in a bag before drawing a ball out. A ball is drawn 5 times from the bag containing the two balls. Each of the first five times the red ball was drawn out. what is the probability that the sixth draw will be a red ball?
Answered by Penny Nom. |
|
|
